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Mathematical Analysis

Mathematical analysis is, simply put, the study of limits and how they can be manipulated. Starting with an exhaustive study of sets, mathematical analysis then continues on to the rigorous development of calculus, differential equations, model theory, and topology. Topics including real and complex analysis, differential equations and vector calculus can be discussed in this category.

2,575 Questions

How many kilometers are there in 820 meters?

There are 1000 metres in one kilometre. Therefore, 820 metres is equal to 820/1000 = 0.82 kilometres.

Why do we take a limit in math?

There are situations in mathematics where the value of a function is not defined for some value of the argument but you can get closer and closer to a fixed value. In such cases a limit may be the appropriate solution for finding an answer.

How do you apply laplace transform method to solve systems of ordinary DEs?

you apply the Laplace transform on both sides of both equations. You will then get a sytem of algebraic equations which you can solve them simultaneously by purely algebraic methods. Then take the inverse Laplace transform .

How do you interpret cross tabulations?

This is a big topic! May I suggest that you go to the attached link and search for cross tabulation? Having perused some of the results, if you formulate other questions please feel free to submit them.

How do you work out the value of n if it when multiplied by 7.9 gives 23.7?

You write an equation such as:7.9n = 23.7

Then, you should notice that you want to get the "n" alone on one side. Therefore, you need to get rid of the 7.9 (on the left side). To get rid of 7.9, and since there is a multiplication, you need to DIVIDE both sides by 7.9. This will give you "n" by itself on the left, and the equivalent number on the right.

How is a mix number solved?

if its an equation then add the big numbers then add the fractions using like denominators afterwards simplify

What is the possibility when magnitudes of dot and cross products are equal?

if any one of the vectors is a null vector or if A is the angle between the two vectors then tanA =1